A chef planning for a large banquet , thinks that 2 out of every 5 dinner guests will order his soup appetizer. He expects 800 guests at the banquet. Use how many cups of soups he should prepare

320 cups of soup

Step-by-step explanation:

Given;

Total number of guests expected T = 800

Proportion of that may order soup p = 2 out of 5 = 2/5

The number of cups he should prepare should be equal to the number of guests that are expected to order soup appetizer.

Number of guests Expected to order soup appetizer n is;

n = proportion × total guest = p × T

Substituting the given values;

n = 2/5 × 800 = 320

Therefore, he should prepare 320 cups of soup.

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this